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Finding the Fourth Proportional to 9,301.16, 14,015.73 and 7,693.88

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Solution

The fourth proportional to 9,301.16, 14,015.73 and 7,693.88 is: 11,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.16 : 14,015.73 = 7,693.88 : x
  2. Step 2: Convert to fraction form
    9,301.16/14,015.73 = 7,693.88/x
  3. Step 3: Cross multiply
    9,301.16x = 14,015.73 × 7,693.88
  4. Step 4: Simplify right side
    9,301.16x = 107,835,344.73
  5. Step 5: Solve for x
    x = 107,835,344.73/9,301.16
  6. Step 6: Final answer
    x = 11,593.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.